Robust tests for testing the parameters of a normal population
This article aims to provide a simple robust method to test the parameters of a normal population by using the new diagnostic tool called the “Forward Search” (FS) method. The most commonly used procedures to test the mean and variance of a normal distribution are Student’s t test and Chi-square tes...
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| Format: | Article |
| Language: | English |
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University of Tehran
2014-09-01
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| Series: | Journal of Sciences, Islamic Republic of Iran |
| Subjects: | |
| Online Access: | https://jsciences.ut.ac.ir/article_51855_ec7d5b583b8c6985b3259fda8da91fe8.pdf |
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| author | A. Mahdavi M. Towhidi |
| author_facet | A. Mahdavi M. Towhidi |
| author_sort | A. Mahdavi |
| collection | DOAJ |
| description | This article aims to provide a simple robust method to test the parameters of a normal population by using the new diagnostic tool called the “Forward Search” (FS) method. The most commonly used procedures to test the mean and variance of a normal distribution are Student’s t test and Chi-square test, respectively. These tests suffer from the presence of outliers. We introduce the FS version of these tests that is not affected by the outliers. The performances of these procedures are illustrated by some simulation studies and a real data example. |
| format | Article |
| id | doaj-art-29a129730ffa4f3882dc3cae4da21fb0 |
| institution | OA Journals |
| issn | 1016-1104 2345-6914 |
| language | English |
| publishDate | 2014-09-01 |
| publisher | University of Tehran |
| record_format | Article |
| series | Journal of Sciences, Islamic Republic of Iran |
| spelling | doaj-art-29a129730ffa4f3882dc3cae4da21fb02025-08-20T01:53:00ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69142014-09-0125327328051855Robust tests for testing the parameters of a normal populationA. Mahdavi0M. Towhidi1Department of Statistics, Faculty of Mathematical Sciences, Vali-e-Asr University of Rafsanjan, Rafsanjan, Islamic Republic of IranDepartment of Statistics, College of Sciences, Shiraz University, Shiraz, Islamic Republic of IranThis article aims to provide a simple robust method to test the parameters of a normal population by using the new diagnostic tool called the “Forward Search” (FS) method. The most commonly used procedures to test the mean and variance of a normal distribution are Student’s t test and Chi-square test, respectively. These tests suffer from the presence of outliers. We introduce the FS version of these tests that is not affected by the outliers. The performances of these procedures are illustrated by some simulation studies and a real data example.https://jsciences.ut.ac.ir/article_51855_ec7d5b583b8c6985b3259fda8da91fe8.pdfforward search procedurerobust approachstudent’s t testchi-square testoutlier |
| spellingShingle | A. Mahdavi M. Towhidi Robust tests for testing the parameters of a normal population Journal of Sciences, Islamic Republic of Iran forward search procedure robust approach student’s t test chi-square test outlier |
| title | Robust tests for testing the parameters of a normal population |
| title_full | Robust tests for testing the parameters of a normal population |
| title_fullStr | Robust tests for testing the parameters of a normal population |
| title_full_unstemmed | Robust tests for testing the parameters of a normal population |
| title_short | Robust tests for testing the parameters of a normal population |
| title_sort | robust tests for testing the parameters of a normal population |
| topic | forward search procedure robust approach student’s t test chi-square test outlier |
| url | https://jsciences.ut.ac.ir/article_51855_ec7d5b583b8c6985b3259fda8da91fe8.pdf |
| work_keys_str_mv | AT amahdavi robusttestsfortestingtheparametersofanormalpopulation AT mtowhidi robusttestsfortestingtheparametersofanormalpopulation |